Math Properties
Identify the four primary math properties.
Associative, commutative, distributive, and identity
Simplify:
8k - 2k
6k
Simplify:
(5 + 4n^2) + (3n^2 - 2)
3 + 7n^2
What does anything raised to the zero power equal?
What is the formula for the Pythagorean Theorem?
a^2 + b^2 = c^2
Which operations are commutative?
Addition and multiplication
Simplify:
11 - 3x + 4 + 5x
15 + 2x
Simplify:
(7 - 2x^2) - (6 - 8x^2)
1 + 6x^2
Simplify:
6r * 2r^2
12r^3
Define what a leg is in a right triangle.
The two sides that connect to form the right angle
Identify the correct properties for the following equations:
a(b+c)=ab+ac
a+0=a
a+(b+c)=(a+b)+c
ab=ba
Distributive
Identity
Associative
Commutative
Simplify:
8(3x - 4)
24x - 48
Simplify:
(-5a^3 - 9a^2 + 7a)+(9a^2 + 8a^3 + 5a)
3a^3 + 12a
Simplify:
4x * 6x^3 * 2x^2
48x^6
Define what the hypotenuse is in a right triangle.
The side directly across from the right angle, also the longest side
Is f*g*h equivalent to h*f*g? If so, state the property that applies. If not, provide an example to prove it.
It is equivalent because of the commutative property
Simplify:
2x + 3(6 - 4x)
18 - 10x
Simplify:
(10 - 6n^2 + 4n^3) - (9n^3 + 10n^2 - 9n)
-5n^3 - 16n^2 + 9n + 10
Simplify:
6y^2 / 5y^3
6 / 5y
Find the missing side length rounded to the nearest tenth.
8.6
Is a - (b - c) equivalent to (a - b) - c? If so, state the property that applies. If not, provide an example to prove it.
No it is not equivalent.For example, 1 - (2 - 3) = 1 - (-1) = 2 but (1 - 2) - 3 = (-1) - 3 = -4.
-5(x + 10) + 4(7 - 4x)
-21x - 22
Simplify:
(-6a^2 - 9a) + (-10 + 13a^2 - 3a) - (-2 - 6a^2)
13a^2 - 12a - 8
Simplify:
10(x^4)(y^3) / 5x(y^2)
2(x^3)(y)
If the sides of a triangle are 30, 40, and 50 inches, is it a right triangle?
Yes because 50^2 = 2500 and 30^2 + 40^2 = 900 + 1600 = 2500